Question 45016
Five cards are chosen from an ordinary deck.  In how many ways is it possible to get exactly 3 hearts, 1 diamond, and 1 spade?

Get three hears: 13C3 = 286 ways
Get 1 diamond: 13C1= 13 ways
Get 1 spade: 13C1= 13 ways

# of ways to get above results = 286*13*13=48334 ways

Cheers,
Stan H.